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Finding the Third Proportional to 64,331,952 and 138,741,216

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Solution

The third proportional to 64,331,952 and 138,741,216 is: 299,215,621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,331,952 : 138,741,216 = 138,741,216 : x
  2. Step 2: Convert to fraction form
    64,331,952/138,741,216 = 138,741,216/x
  3. Step 3: Cross multiply
    64,331,952x = 138,741,216 × 138,741,216
  4. Step 4: Simplify right side
    64,331,952x = 19,249,125,017,158,656
  5. Step 5: Solve for x
    x = 19,249,125,017,158,656/64,331,952
  6. Step 6: Final answer
    x = 299,215,621.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.